Answer:
Option A.
[tex]y= -3x +3[/tex]
Step-by-step explanation:
The equation of a line in the slope-intersection form is:
[tex]y = mx + b[/tex]
Where m is the slope and b is the intersection with the y axis.
Notice in the graph that the given line cuts to the y-axis at [tex]y = 3[/tex].
This means that the value of b must be positive and equal to 3.
Therefore we can discard options B and D.
The equation will be:
[tex]y = mx +3[/tex]
Now we need to find the slope m of the line.
Notice that the graph cuts to the x-axis at point (1.0)
Substitute this point in the equation and clear m.
[tex]0 = m (1) +3[/tex]
[tex]m = -3[/tex]
Therefore the slope of the line is [tex]m = -3[/tex]
and the equation is:
[tex]y = -3x +3[/tex]
